ceta_eq: termination proof not accepted 1: error below switch to dependency pairs 1.1: error when applying the reduction pair processor with usable rules to remove from the DP problem pairs: g#(f(x, y), z) -> g#(y, z) g#(h(x, y), z) -> g#(x, f(y, z)) g#(x, h(y, z)) -> g#(x, y) rules: g(f(x, y), z) -> f(x, g(y, z)) g(h(x, y), z) -> g(x, f(y, z)) g(x, h(y, z)) -> h(g(x, y), z) the pairs g#(h(x, y), z) -> g#(x, f(y, z)) g#(x, h(y, z)) -> g#(x, y) could not apply the generic root reduction pair processor with the following SCNP-version with mu = MS and the level mapping defined by pi(g#) = [(epsilon,0),(1,2),(2,0)] Argument Filter: pi(g#/2) = 2 pi(f/2) = 2 pi(h/2) = [1,2] RPO with the following precedence precedence(h[2]) = 0 precedence(_) = 0 and the following status status(h[2]) = lex status(_) = lex problem when orienting DPs cannot orient pair g#(f(x, y), z) -> g#(y, z) weakly: [(g#(f(x, y), z),0),(f(x, y),2),(z,0)] >=mu [(g#(y, z),0),(y,2),(z,0)] could not be ensured